Let
be the initial circle to be mapped by the system.
Calculate , then you can find that , i.e. a circle with the origin is translated along x axis.
There you go, Katy
Hi, I have the following dynamical system,
Where a is real.
And I am asked to consider the set of points on a circle of radius r and centre origin and show that they are mapped to another circle under one iteration.
How do I go about this? I know the equation for the circle is of course . Can someone please give me a clue how to start?
Thanks,
Katy